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Goodwill and Intangible Assets - Components of Identifiable Intangible Assets (Details) - USD ($)
$ in Thousands
Jun. 30, 2019
Sep. 30, 2018
Finite-Lived Intangible Assets [Line Items]    
Cost $ 387,177 $ 198,918
Accumulated Amortization 124,982 98,962
Net Book Value 262,195 99,956
Patents    
Finite-Lived Intangible Assets [Line Items]    
Cost 5,302 5,302
Accumulated Amortization 4,553 4,325
Net Book Value 749 977
Completed Technology    
Finite-Lived Intangible Assets [Line Items]    
Cost 88,921 44,829
Accumulated Amortization 36,222 28,934
Net Book Value 52,699 15,895
Trademarks and Trade Names    
Finite-Lived Intangible Assets [Line Items]    
Cost 25,490 6,298
Accumulated Amortization 5,035 2,953
Net Book Value 20,455 3,345
Customer Relationships    
Finite-Lived Intangible Assets [Line Items]    
Cost 267,225 142,489
Accumulated Amortization 79,002 62,750
Net Book Value 188,223 $ 79,739
Other Intangible Assets    
Finite-Lived Intangible Assets [Line Items]    
Cost 239  
Accumulated Amortization 170  
Net Book Value $ 69